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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME)
(Institutional affiliation for the last research proposal)

Birthplace:
Brazil

Graduate at Mathematics from Universidade Federal de Minas Gerais (1999), master's at Mathematics from Universidade de São Paulo (2001) and ph.d. at Applied Mathematics from Universidade de São Paulo (2004). Has experience in Mathematics, focusing on Partial Differential Equations, acting on the following subjects: semilinear parabolic equations and their applications, dynamical systems in Banach spaces, upper and lower semicontinuity of attractors and boundary perturbation problems. (Source: Lattes Curriculum)

Research grants

- Asymptotic analysis in differential and integral equations, AP.R
### Abstract

Our aim here is analyze integral and partial differential equations under singular perturbations. We consider boundary value problems with parameters driven by applied areas studying their behavior in order to extract limit problems and convergence. The main parameters that we deal with here are (i) the domain of the solutions (boundary perturbation problems), (ii) nonlinear terms in th...

- Dynamical systems given by semilinear parabolic equations, AP.R
### Abstract

In this project we are interested in analyze the asymptotic behavior of the solutions of dynamical systems given by perturbed Semilinear Parabolic Problems. We main investigate upper and lower continuity of attractors as well as of the set of state solutions of the system comparing the perturbed dynamics with one defined by the limit problem in appropriated Banach spaces. (AU)

- Asymptotic behavior and geometric of partial differential equations, AP.R

(Only some records are available in English at this moment)

Scholarships abroad

- Spectral analysis of linear operators given by nonlocal model for dispersion and diffusion, BE.PQ
### Abstract

This project is associated with the request of a scholarship abroad, submitted to FAPESP, to be developed from September 2019 to February 2020 (6 months) at the Universidad Católica de Chile in collaboration with Prof. Rafael Benguria.It is important to mention that Prof. Rafael is a full professor at his university, a member of the Chilean Academy of Sciences and has been a member of t...

- Obstacle problems for non local evolution equations, BE.PQ
### Abstract

In this project we consider an obstacle problem to a class of non local evolution equations. We study existence of solutions, regularity and regularity. We also intend to investigate the relationship between parabolic problems and these ones as asymptotic limits. Finally we note that we are mainly interested in non local problems in time and space.

- Asymptotic and geometric behavior of partial differential equations, BE.PQ

5 /
4
| Completed research grants |

1 /
1
| Ongoing scholarships abroad |

2 /
2
| Completed scholarships abroad |

8 /
7
| All research grants and scholarships |

Associated processes |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 18 |

Citations | 100 |

Cit./Article | 5.6 |

Data from Web of Science |

BARBOSA, PRICILA S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Continuity of attractors for a family of C-1 perturbations of the square.** Annali di Matematica Pura ed Applicata**, v. 196, n. 4, p. 1365-1398, AUG 2017. Web of Science Citations: 0.

ARRIETA, JOSE M.; NOGUEIRA, ARIADNE; PEREIRA, MARCONE C.. Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries.** COMPUTERS & MATHEMATICS WITH APPLICATIONS**, v. 77, n. 2, p. 536-554, JAN 15 2019. Web of Science Citations: 1.

ARRIETA, JOSE M.; NOGUEIRA, ARIADNE; PEREIRA, MARCONE C.. NONLINEAR ELLIPTIC EQUATIONS WITH CONCENTRATING REACTION TERMS AT AN OSCILLATORY BOUNDARY.** DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B**, v. 24, n. 8, SI, p. 4217-4246, AUG 2019. Web of Science Citations: 0.

NAKASATO, JEAN CARLOS; PAZANIN, IGOR; PEREIRA, MARCONE CORREA. Roughness-induced effects on the convection-diffusion-reaction problem in a thin domain.** APPLICABLE ANALYSIS**, JUN 2019. Web of Science Citations: 0.

ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; PEREIRA, MARCONE C.; SILVA, RICARDO P.. Semilinear parabolic problems in thin domains with a highly oscillatory boundary.** NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS**, v. 74, n. 15, p. 5111-5132, 2011. Web of Science Citations: 34. (10/18790-0)

PEREIRA, MARCONE C.; SILVA, RICARDO P.. ERROR ESTIMATES FOR A NEUMANN PROBLEM IN HIGHLY OSCILLATING THIN DOMAINS.** DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS**, v. 33, n. 2, p. 803-817, FEB 2013. Web of Science Citations: 14. (12/06753-8, 10/18790-0)

PEREIRA, MARCONE C.. Parabolic problems in highly oscillating thin domains.** Annali di Matematica Pura ed Applicata**, v. 194, n. 4, p. 1203-1244, AUG 2015. Web of Science Citations: 5. (13/22275-1)

BARROS, SAULO R. M.; PEREIRA, MARCONE C.. Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary.** Journal of Mathematical Analysis and Applications**, v. 441, n. 1, p. 375-392, SEP 1 2016. Web of Science Citations: 6.

PAZANIN, IGOR; PEREIRA, MARCONE C.. ON THE NONLINEAR CONVECTION-DIFFUSION-REACTION PROBLEM IN A THIN DOMAIN WITH A WEAK BOUNDARY ABSORPTION.** COMMUNICATIONS ON PURE AND APPLIED ANALYSIS**, v. 17, n. 2, p. 579-592, MAR 2018. Web of Science Citations: 1.

PAZANIN, I.; PEREIRA, M. C.; SUAREZ-GRAU, F. J.. Asymptotic Approach to the Generalized Brinkman's Equation with Pressure-Dependent Viscosity and Drag Coefficient.** JOURNAL OF APPLIED FLUID MECHANICS**, v. 9, n. 6, p. 3101-3107, 2016. Web of Science Citations: 0.

PEREIRA, MARCONE CORREA. Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains.** ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK**, v. 67, n. 5, OCT 2016. Web of Science Citations: 4.

PEREIRA, MARCONE C.; ROSSI, JULIO D.. An Obstacle Problem for Nonlocal Equations in Perforated Domains.** POTENTIAL ANALYSIS**, v. 48, n. 3, p. 361-373, APR 2018. Web of Science Citations: 2.

LOPES, PEDRO T. P.; PEREIRA, MARCONE C.. Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation.** Journal of Mathematical Analysis and Applications**, v. 465, n. 1, p. 379-402, SEP 1 2018. Web of Science Citations: 0.

PEREIRA, MARCONE C.. Nonlocal evolution equations in perforated domains.** MATHEMATICAL METHODS IN THE APPLIED SCIENCES**, v. 41, n. 16, p. 6368-6377, NOV 15 2018. Web of Science Citations: 0.

BROCHE, RITA DE CASSIA D. S.; PEREIRA, MARCONE C.. Generic hyperbolicity of stationary solutions for a reaction-diffusion system.** NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS**, v. 72, n. 12, p. 4638-4648, JUN 15 2010. Web of Science Citations: 0. (06/06278-7)

ARAGAO, GLEICIANE S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Attractors for a Nonlinear Parabolic Problem with Terms Concentrating on the Boundary.** Journal of Dynamics and Differential Equations**, v. 26, n. 4, p. 871-888, DEC 2014. Web of Science Citations: 9. (10/18790-0)

ARRIETA, JOSE M.; PEREIRA, MARCONE C.. The Neumann problem in thin domains with very highly oscillatory boundaries.** Journal of Mathematical Analysis and Applications**, v. 404, n. 1, p. 86-104, AUG 1 2013. Web of Science Citations: 20. (10/18790-0, 11/08929-3)

PEREIRA, MARCONE C.. Remarks on semilinear parabolic systems with terms concentrating in the boundary.** Nonlinear Analysis: Real World Applications**, v. 14, n. 4, p. 1921-1930, AUG 2013. Web of Science Citations: 4. (10/18790-0)

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